A general nonparametric test for constancy of smooth function-valued parameters from conditional distributions is introduced, with a tractable limiting null distribution unlike many norm-based alternatives.
By Condition C2, for each fixedv, ∂ ∂t Ψt,v(v) t=0 = Z Dv P0(o)sv(o)dP 0,O|v(o), 12 where sv(o) =s(o)−E 0[s(O)|V=v]
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A general nonparametric framework for testing hypotheses about function-valued parameters
A general nonparametric test for constancy of smooth function-valued parameters from conditional distributions is introduced, with a tractable limiting null distribution unlike many norm-based alternatives.